I have to find the volume of the area between x=1 and y=(e^x)+1 rotated around both the x and y axis. The x axis worked fine, and I got about 10.83pi. However when I try to rotate the area around the y axis, I get the area between x=1 and x=ln(y-1) for 0<y<1, and when I attempt to integrate I get a large integral with ln(y-1) in it, and after subbing in 0 I get a negative number and therefore an error. What am I doing wrong? All help is appreciated
I assume you used 0≤x≤1.
If this is the case, the the region being rotated is bounded by the coordinate axes as well as by x=1 and y=(e^x)+1.